2244265863840 has 2304 divisors, whose sum is σ = 10827909550080. Its totient is φ = 426746880000.

The previous prime is 2244265863839. The next prime is 2244265863869. The reversal of 2244265863840 is 483685624422.

2244265863840 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 26 + 586 + 38 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4570805995 + ... + 4570806485.

It is an arithmetic number, because the mean of its divisors is an integer number (4699613520).

Almost surely, 2^{2244265863840} is an apocalyptic number.

2244265863840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244265863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413954775040).

2244265863840 is an abundant number, since it is smaller than the sum of its proper divisors (8583643686240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2244265863840 is a wasteful number, since it uses less digits than its factorization.

2244265863840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 2244265863840 in words is "two trillion, two hundred forty-four billion, two hundred sixty-five million, eight hundred sixty-three thousand, eight hundred forty".